Find the least fraction, which must be multiplied to (124 −12 +

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Question

Find the least fraction, which must be multiplied to

(1 \frac{2}{4} - \frac{1}{2} + 3 \frac{6}{16} - \frac{1}{16} + \frac{2}{8}

) to make it an integer.

Options:

A . 241

B . 161

C . 731

D . 173

Answer: Option B
:
B

(1 \frac{2}{4}

-

\frac{1}{2}

+3

\frac{6}{16}

-

\frac{1}{16}

+

\frac{2}{8}

)
=

\frac{6}{4} - \frac{1}{2} + \frac{54}{16} - \frac{1}{16} + \frac{2}{8}

Taking LCM of denominators and solving,

\frac{24 - 8 + 54 - 1 + 4}{16}

=

\frac{73}{16}

Now, If we multiply

\frac{73}{16}

by

\frac{16}{1}

, it becomes 73, which is an integer
Hence,

\frac{16}{1}

is the required fraction.

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